[All Steps] A manufacturer claims that the average tar content of a certain kind of cigarette is μ = 14.0. In an attempt to show that it differs from
Question: A manufacturer claims that the average tar content of a certain kind of cigarette is \(\mu \) = 14.0. In an attempt to show that it differs from this value, five measurements are made of the tar content (mg per cigarette):
14.5 14.2 14.4 14.3 14.6
Show that the difference between the mean of this sample, \(\bar{X}\) = 14.4, and the average tar claimed by the manufacturer, \(\mu \) = 14.0, is significant at a = 0.05. Assume normality.
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